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Finding the Third Proportional to 1,581,608 and 3,449,430

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Solution

The third proportional to 1,581,608 and 3,449,430 is: 7,523,082.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581,608 : 3,449,430 = 3,449,430 : x
  2. Step 2: Convert to fraction form
    1,581,608/3,449,430 = 3,449,430/x
  3. Step 3: Cross multiply
    1,581,608x = 3,449,430 × 3,449,430
  4. Step 4: Simplify right side
    1,581,608x = 11,898,567,324,900
  5. Step 5: Solve for x
    x = 11,898,567,324,900/1,581,608
  6. Step 6: Final answer
    x = 7,523,082.41

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.